Correct solvability of Volterra integrodifferential equations in Hilbert space

DOI10.14232/EJQTDE.2016.1.31zbMath1374.45014OpenAlexW2416955943MaRDI QIDQ2820823

Romeo Perez Ortiz, V. V. Vlasov

Publication date: 9 September 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2016.1.31

zbMATH Keywords

Sobolev spaceVolterra integral operatorsabstract integro-differential equationsabstract wave equationsGurtin-Pipkin heat equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integral operators (45P05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Representation of solutions of integro-differential equations with kernels depending on the parameter ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Study of functional-differential equations with unbounded operator coefficients ⋮ Study of Volterra integro-differential equations with kernels depending on a parameter ⋮ A study of operator models arising in problems of hereditary mechanics

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